Subcritical Andronov–Hopf scenario for systems with a line of equilibria
| Autor: | Andrei V. Slepnev, Tatiana E. Vadivasova, Ivan A. Korneev, Vladimir V. Semenov |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Equilibrium point Computer simulation Bistability Applied Mathematics FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Memristor Nonlinear Sciences - Adaptation and Self-Organizing Systems Action (physics) law.invention Nonlinear system law Phase space Statistical physics Adaptation and Self-Organizing Systems (nlin.AO) Mathematical Physics Bifurcation |
| Zdroj: | Chaos: An Interdisciplinary Journal of Nonlinear Science. 31:073102 |
| ISSN: | 1089-7682 1054-1500 |
| Popis: | Using numerical simulation methods and analytical approach, we demonstrate hard self-oscillation excitation in systems with infinitely many equilibrium points forming a line of equilibria in the phase space. The studied bifurcation phenomena are equivalent to the excitation scenario via the subcritical Andronov-Hopf bifurcation observed in classical self-oscillators with isolated equilibrium points. The hysteresis and bistability accompanying the discussed processes are shown and explained. The research is carried out on an example of a nonlinear memristor-based self-oscillator model. First, a simpler model including Chua's memristor with a piecewise-smooth characteristic is explored. Then the memristor characteristic is changed to a function being smooth everywhere. Finally, the action of the memristor forgetting effect is taken into consideration. 8 Pages, 6 Figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|